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Finding the Fourth Proportional to 1,020.60, 1,405.15 and 841.39

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Solution

The fourth proportional to 1,020.60, 1,405.15 and 841.39 is: 1,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.60 : 1,405.15 = 841.39 : x
  2. Step 2: Convert to fraction form
    1,020.60/1,405.15 = 841.39/x
  3. Step 3: Cross multiply
    1,020.60x = 1,405.15 × 841.39
  4. Step 4: Simplify right side
    1,020.60x = 1,182,273.54
  5. Step 5: Solve for x
    x = 1,182,273.54/1,020.60
  6. Step 6: Final answer
    x = 1,158.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.